Title
The ant-lion paradigm for strong normalization
Abstract
We look for strongly normalizable (SN) solutions of fixed point equations of the λ-calculus. We propose a paradigmatic way ( the ant-lion paradigm ) to solve some meaningful sample problems: (a) the adequacy theorem for numeral systems of the λ- K -calculus is extended to the λ- I -calculus and to the λ-δ K - calculus (obtained by extending the λ- I -calculus by a restricted K as a δ-rule); (b) the fixed point equation X = FX is solved for F specialized into a deed ; (c) numeral systems are classified by examples with respect to the key notions of the paper.
Year
DOI
Venue
1994
10.1006/inco.1994.1079
Inf. Comput.
Keywords
Field
DocType
strong normalization,ant-lion paradigm
Discrete mathematics,Normalization (statistics),Deed,Fixed point equation,Numeral system,Mathematics
Journal
Volume
Issue
ISSN
114
1
Information and Computation
Citations 
PageRank 
References 
7
0.56
0
Authors
2
Name
Order
Citations
PageRank
Corrado Böhm1487413.44
Benedetto Intrigila229133.46